Passivity gains and the "secant condition" for stability

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51 Scopus citations


A generalization of the classical secant condition for the stability of cascades of scalar linear systems is provided for passive systems. The key is the introduction of a quantity that combines gain and phase information for each system in the cascade. For linear one-dimensional systems, the known result is recovered exactly.

Original languageEnglish (US)
Pages (from-to)177-183
Number of pages7
JournalSystems and Control Letters
Issue number3
StatePublished - Mar 1 2006

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering


  • Negative feedback
  • Passive systems
  • Secant condition
  • Stability

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